Base | Representation |
---|---|
bin | 11011011100100… |
… | …11111110000000 |
3 | 121001020121200212 |
4 | 31232103332000 |
5 | 432420303344 |
6 | 34502533252 |
7 | 5464020650 |
oct | 1556237600 |
9 | 531217625 |
10 | 230244224 |
11 | 108a6a991 |
12 | 65137228 |
13 | 389164b2 |
14 | 22816360 |
15 | 1533079e |
hex | db93f80 |
230244224 has 64 divisors (see below), whose sum is σ = 542354400. Its totient is φ = 95262720.
The previous prime is 230244221. The next prime is 230244239. The reversal of 230244224 is 422442032.
230244224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a self number, because there is not a number n which added to its sum of digits gives 230244224.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230244221) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21554 + ... + 30414.
Almost surely, 2230244224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271177200).
230244224 is an abundant number, since it is smaller than the sum of its proper divisors (312110176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230244224 is an equidigital number, since it uses as much as digits as its factorization.
230244224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8911 (or 8899 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 23.
The square root of 230244224 is about 15173.8005786289. The cubic root of 230244224 is about 612.9093520129.
Adding to 230244224 its reverse (422442032), we get a palindrome (652686256).
The spelling of 230244224 in words is "two hundred thirty million, two hundred forty-four thousand, two hundred twenty-four".
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